document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221114>Question 221114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what are all ordered pairs of a numbers (x,Y) which satisfy both x(x+y)=9 and y(x+y)=16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165961 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what are all ordered pairs of a numbers (x,Y) which satisfy both x(x+y)=9 and y(x+y)=16\r<BR>\n" );
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document.write( "Step 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2By%29=9 ALIGN=MIDDLE  ALT=\"x%28x%2By%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bxy=9 ALIGN=MIDDLE  ALT=\"x%5E2%2Bxy=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=9-x%5E2 ALIGN=MIDDLE  ALT=\"xy=9-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28x%2By%29=xy%2By%5E2=16 ALIGN=MIDDLE  ALT=\"y%28x%2By%29=xy%2By%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 3.  Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > from Step 1 into Step 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-x%5E2%2By%5E2=16 ALIGN=MIDDLE  ALT=\"9-x%5E2%2By%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2By%5E2=7 ALIGN=MIDDLE  ALT=\"-x%5E2%2By%5E2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > after subtracting 9 from both sides of the equation\r<BR>\n" );
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document.write( "Step 4.  Now in Step 1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=9%2Fx ALIGN=MIDDLE  ALT=\"x%2By=9%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and substitute into Step 2 to yield\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2A9%2Fx=16 ALIGN=MIDDLE  ALT=\"y%2A9%2Fx=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16x%2F9 ALIGN=MIDDLE  ALT=\"y=16x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Substitute  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16x%2F9 ALIGN=MIDDLE  ALT=\"y=16x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > into Step 3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B%2816x%2F9%29%5E2=7 ALIGN=MIDDLE  ALT=\"-x%5E2%2B%2816x%2F9%29%5E2=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B256x%5E2%2F81=7 ALIGN=MIDDLE  ALT=\"-x%5E2%2B256x%5E2%2F81=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E2=81 ALIGN=MIDDLE  ALT=\"9%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides to get rid of denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81x%5E2%2B256x%5E2=81%2A7=567 ALIGN=MIDDLE  ALT=\"-81x%5E2%2B256x%5E2=81%2A7=567\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=175x%5E2=567 ALIGN=MIDDLE  ALT=\"175x%5E2=567\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.8 ALIGN=MIDDLE  ALT=\"x=1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1.8 ALIGN=MIDDLE  ALT=\"x=-1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16%2A1.8%2F9=3.2 ALIGN=MIDDLE  ALT=\"y=16%2A1.8%2F9=3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3.2 ALIGN=MIDDLE  ALT=\"y=-3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  The ordered pairs are (1.8, 3.2) and (-1.8, -3.2).\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "drjctu@gmail.com\r<BR>\n" );
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document.write( " </SPAN>\n" );
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